Symmetric tridiagonal structure preserving finite element model updating problem for the quadratic model. (July 2018)

• Record Type: Journal Article
• Authors: Rakshit, Suman; Khare, Swanand R.; Datta, Biswa Nath
• Is Part Of: Mechanical systems and signal processing. Volume 107(2018)
• Page Start: 278
• Page End: 290
• Publication Date: 2018-07
• Subjects: Quadratic matrix pencil -- Finite element model updating -- Symmetric tridiagonal matrix -- Kronecker product of two matrices; Structural dynamics -- Periodicals; Vibration -- Periodicals; Constructions -- Dynamique -- Périodiques; Vibration -- Périodiques; Structural dynamics; Vibration; Periodicals; 621
• DOI: 10.1016/j.ymssp.2017.10.014
• Languages: English
• ISSNs: 0888-3270

Abstract

Abstract: One of the most important yet difficult aspect of the Finite Element Model Updating Problem is to preserve the finite element inherited structures in the updated model. Finite element matrices are in general symmetric, positive definite (or semi-definite) and banded (tridiagonal, diagonal, penta-diagonal, etc.). Though a large number of papers have been published in recent years on various aspects of solutions of this problem, papers dealing with structure preservation almost do not exist. A novel optimization based approach that preserves the symmetric tridiagonal structures of the stiffness and damping matrices is proposed in this paper. An analytical expression for the global minimum solution of the associated optimization problem along with the results of numerical experiments obtained by both the analytical expressions and by an appropriate numerical optimization algorithm are presented. The results of numerical experiments support the validity of the proposed method.